Home
Class 11
PHYSICS
How should 1 kg of water at 5^@C be divi...

How should 1 kg of water at `5^@C` be divided into two parts so that if one part turned into ice at `0^@C`, it would release enough heat to vapourize the other part? Latent heat of steam`=540 cal//g` and latent heat of ice `=80 cal//g`.

Text Solution

AI Generated Solution

To solve the problem, we need to determine how to divide 1 kg of water at 5°C into two parts: one part will be converted into ice at 0°C, and the other part will be vaporized into steam. We will use the principles of calorimetry and the latent heats provided. ### Step-by-step Solution: 1. **Define Variables**: Let \( x \) be the mass of water (in grams) that will be converted into ice. Therefore, the mass of water that will be vaporized is \( 1000 - x \) grams. 2. **Calculate Heat Released by Ice Formation**: ...
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.1|23 Videos
  • CALORIMETRY

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 1.2|22 Videos
  • BASIC MATHEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.6|20 Videos
  • CENTRE OF MASS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

Similar Questions

Explore conceptually related problems

How should 1 kg of water at 50^(@)C be divided in two parts such that if one part is turned into ice at 0^(@)C . It would release sufficient amount of heat to vapourize the other part. Given that latent heat of fusion of ice is 3.36xx10^(5) J//Kg . Latent heat of vapurization of water is 22.5xx10^(5) J//kg and specific heat of water is 4200 J//kg K .

Steam at 100^@C is passed into a calorimeter of water equivalent 10 g containing 74 cc of water and 10 g of ice at 0^@C . If the temperature of the calorimeter and its contents rises to 5^@C , calculate the amount of steam passed. Latent heat of steam =540 kcal//kg , latent heat of fusion =80 kcal//kg .

1 g of steam at 100^@C and an equal mass of ice at 0^@C are mixed. The temperature of the mixture in steady state will be (latent heat of steam =540 cal//g , latent heat of ice =80 cal//g ,specific heat of water =1 cal//g^@C )

What will be the final temperature when 150 g of ice at 0^@C is mixed with 300 g of water at 50^@C . Specific heat of water =1 cal//g//^@C . Latent heat of fusion of ice =80 cal//g .

5g of water at 30^@C and 5 g of ice at -29^@C are mixed together in a calorimeter. Find the final temperature of mixture. Water equivalent of calorimeter is negligible, specific heat of ice = 0.5 cal//g-^@C and latent heat of ice =80 cal//g .

A refrigerator converts 100 g of water at 25^(@)C into ice at -10^(@)C in one hour and 50 minutes. The quantity of heat removed per minute is (specific heat of ice = 0.5 "cal"//g^(@)C , latent heat of fusion = 80 "cal"//g )

In an industrial process 10 kg of water per hour is to be heated from 20^@C to 80^@C . To do this steam at 150^@C is passed from a boiler into a copper coil immersed in water. The steam condenses in the coil and is returned to the boiler as water at 90^@C . How many kilograms of steam is required per hour (specific heat of steam =1 cal//g^@C , Latent heat of vapourization =540 cal//g )?

A metal rod AB of length 10x has its one end A in ice at 0^@C , and the other end B in water at 100^@C . If a point P one the rod is maintained at 400^@C , then it is found that equal amounts of water and ice evaporate and melt per unit time. The latent heat of evaporation of water is 540cal//g and latent heat of melting of ice is 80cal//g . If the point P is at a distance of lambdax from the ice end A, find the value lambda . [Neglect any heat loss to the surrounding.]

4 gm of steam at 100^(@)C is added to 20 gm of water at 46^(@)C in a container of negligible mass. Assuming no heat is lost to surrounding, the mass of water in container at thermal equilibrium is. Latent heat of vaporisation = 540 cal//gm . Specific heat of water =1 cal//gm-^(@)C .

In a container of negligible heat capacity, 200 gm ice at 0^(@)C and 100gm steam at 100^(@)C are added to 200 gm of water that has temperature 55^(@)C . Assume no heat is lost to the surrpundings and the pressure in the container is constant 1.0 atm . (Latent heat of fusion of ice =80 cal//gm , Latent heat of vaporization of water = 540 cal//gm , Specific heat capacity of ice = 0.5 cal//gm-K , Specific heat capacity of water =1 cal//gm-K) Amount of the steam left in the system, is equal to